Chapter 6 Sequences And Series Math 11th Class Punjab MCQ Tests
11th Class Math Chapter 6 MCQ Tests
Chapter 6 of 11th Class Math has 54 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 54
Total Marks: 54
Time: Mins
Total Questions: 54
Total Marks: 54
Time: Mins
Min : 00 Sec Remaining
Question # 1
Find the sum of the series 1 ⋅ 3 ⋅ 5 ⋅ 7 + 3 ⋅ 5 ⋅ 7 ⋅ 9 + 5 ⋅ 7 ⋅ 9 ⋅ 11 + … to 15 terms.
Question # 2
Solve
Question # 3
Write the first four terms of the sequence: An = ( −n3 )
Question # 4
Express the recurring decimals as rational number: 0. ˙3˙6.
Question # 5
John recruited 2 persons for the networking business. After a week, he recruited 5 persons again and on the 5 th week of recruitment, he recruited another 14 persons for the networking business. If this continues, how many persons did John already recruited after the 6 th week of recruitment?
Question # 6
A man borrows R s . 32760 without interest and agrees to repay the loan in installments, each installment being twice the preceding one. Find the amount of the last installment, if the amount of the first installment is Rs. 8.
Question # 7
What is the fifth term of the sequence :
Question # 8
Find if the series is convergent or divergent. If convergent then find its sum:
Question # 9
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 10
Find the sum of the cubes of first 50 natural numbers.
Question # 11
A man deposits in a bank Rs. 8 in the first year, R s . 24 in the second year, R s . 72 in the third year and so on. Find the amount he will have deposited in the bank by the fifth year.
Question # 12
A < G < _ _ _ , where ( G > 0 ) .
Question # 13
Insert four G.M.s between 2 and 32.
Question # 14
G2 = A . _ _ _ .
Question # 15
Find 20 arithmetic means between 4 and 67.
Question # 16
The sum of 5 A.M.s between 3 and 5 is equal to _____.
Question # 17
Find the 11 th term of the sequence, 1 + i , 2 , 4 / 1 + i.
Question # 18
Here is a number pattern. Find the missing number: 63 , 55 , 47 , x , 31 , 23.
Question # 19
An arithmetic sequence has a common difference equal to 10 and its 6 th term is equal to 52 . Find its 15 th term.
Question # 20
Find the sum of the first n terms of the geometric series if a 1 = 1 and r = 2.
Question # 21
Insert four G.M.s between 1 and 16.
Question # 22
If the pyramid shaped office building has 10 windows in the first row and adds 3 windows every row, find how many windows are in row 15 and how many total windows in row 15?
Question # 23
If n is a natural number, what is the sixth term of the sequence given by Xn = 4 × ( 0.5 )n ?
Question # 24
0.3333 … is approximately equal to _____.
Question # 25
How many bacteria will we have in n hours?
Question # 26
The population of a certain village is 62500 . What will be its population after 3 years if it increases geometrically at the rate of 4 % annually?
Question # 27
In an H.P. the p th term is q r and q th term is p r , then r th term is:
Question # 28
Find the sum of the series 1 ⋅ 4 ⋅ 7 + 4 ⋅ 7 ⋅ 10 + 7 ⋅ 10 ⋅ 13 + … to 10 terms.
Question # 29
Insert four harmonic means between 1 / 3 and 1 / 23.
Question # 30
A.M. between is:
Question # 31
The sum of the reciprocals of three numbers in H.P. is 12 and the product of the numbers is 1 / 48 . Find the numbers.
Question # 32
An arithmetic sequence has its 5 th term equal to 22 and its 15 th term equal to 62 . Find its 100 th term.
Question # 33
Find the sum of the squares of first 25 natural numbers.
Question # 34
If the H.M. and A.M. between two numbers are 4 and 9 / 2 , respectively, find the numbers.
Question # 35
A 1 , A 2 , A 3 , A 4 ,
. , A n are said to be n arithmetic means between a and b if a , A 1 , A 2 , A 3 , A 4 ,
. , A n , b is a/an:
Question # 36
Express the recurring decimal as a fraction.
Question # 37
G > A > _ _ _ , then ( G > 0 ).
Question # 38
Find four geometric means between 4096 and 972.
Question # 39
Here is a number pattern. Find the missing number: 11 , 17 , 23 , x , 35 , 41.
Question # 40
Find four arithmetic means between 8 and − 7.
Question # 41
What is the geometric mean of 4 , 8.3 , 9 and 17?
Question # 42
Find the nth term of the geometric sequence:
Question # 43
Find the sum of the infinite geometric series:
Question # 44
Describe the sequence using the words convergent, divergent and periodic as appropriate.
Question # 45
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 46
1.363636 … is approximately equal to _____.
Question # 47
The sum of n A.M.s between a and b is equal to _____.
Question # 48
Insert four harmonic means between 7 / 3 and 7 / 11.
Question # 49
Find the geometric mean of 5 , 20 , 40 , 80.
Question # 50
The sum of 7 A.M.s between 2 and 14 is equal to _____.
Question # 51
A marathon race was completed by 5 participants in the times given. What is the mean race time for this marathon? 2.7 hours, 8.3 hours, 3.5 hours, 5.1 hours, 4.9 hours.
Question # 52
1 , 1 / 2 , 1 / 3 , 1 / 4 , 1 / 5 … is an example of converging sequence.
Question # 53
The enrolment of a famous school doubled after eight years from 1970 to 1994 . If the enrolment was 6000 in 1994 , what was its enrolment in 1970 ?
Question # 54
Convert the recurring decimal to a mixed number. Give your answer in its simplest form.
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354
Question # 1
Find the sum of the series 1 ⋅ 3 ⋅ 5 ⋅ 7 + 3 ⋅ 5 ⋅ 7 ⋅ 9 + 5 ⋅ 7 ⋅ 9 ⋅ 11 + … to 15 terms.
Question # 2
Solve
Question # 3
Write the first four terms of the sequence: An = ( −n3 )
Question # 4
Express the recurring decimals as rational number: 0. ˙3˙6.
Question # 5
John recruited 2 persons for the networking business. After a week, he recruited 5 persons again and on the 5 th week of recruitment, he recruited another 14 persons for the networking business. If this continues, how many persons did John already recruited after the 6 th week of recruitment?
Question # 6
A man borrows R s . 32760 without interest and agrees to repay the loan in installments, each installment being twice the preceding one. Find the amount of the last installment, if the amount of the first installment is Rs. 8.
Question # 7
What is the fifth term of the sequence :
Question # 8
Find if the series is convergent or divergent. If convergent then find its sum:
Question # 9
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 10
Find the sum of the cubes of first 50 natural numbers.
Question # 11
A man deposits in a bank Rs. 8 in the first year, R s . 24 in the second year, R s . 72 in the third year and so on. Find the amount he will have deposited in the bank by the fifth year.
Question # 12
A < G < _ _ _ , where ( G > 0 ) .
Question # 13
Insert four G.M.s between 2 and 32.
Question # 14
G2 = A . _ _ _ .
Question # 15
Find 20 arithmetic means between 4 and 67.
Question # 16
The sum of 5 A.M.s between 3 and 5 is equal to _____.
Question # 17
Find the 11 th term of the sequence, 1 + i , 2 , 4 / 1 + i.
Question # 18
Here is a number pattern. Find the missing number: 63 , 55 , 47 , x , 31 , 23.
Question # 19
An arithmetic sequence has a common difference equal to 10 and its 6 th term is equal to 52 . Find its 15 th term.
Question # 20
Find the sum of the first n terms of the geometric series if a 1 = 1 and r = 2.
Question # 21
Insert four G.M.s between 1 and 16.
Question # 22
If the pyramid shaped office building has 10 windows in the first row and adds 3 windows every row, find how many windows are in row 15 and how many total windows in row 15?
Question # 23
If n is a natural number, what is the sixth term of the sequence given by Xn = 4 × ( 0.5 )n ?
Question # 24
0.3333 … is approximately equal to _____.
Question # 25
How many bacteria will we have in n hours?
Question # 26
The population of a certain village is 62500 . What will be its population after 3 years if it increases geometrically at the rate of 4 % annually?
Question # 27
In an H.P. the p th term is q r and q th term is p r , then r th term is:
Question # 28
Find the sum of the series 1 ⋅ 4 ⋅ 7 + 4 ⋅ 7 ⋅ 10 + 7 ⋅ 10 ⋅ 13 + … to 10 terms.
Question # 29
Insert four harmonic means between 1 / 3 and 1 / 23.
Question # 30
A.M. between is:
Question # 31
The sum of the reciprocals of three numbers in H.P. is 12 and the product of the numbers is 1 / 48 . Find the numbers.
Question # 32
An arithmetic sequence has its 5 th term equal to 22 and its 15 th term equal to 62 . Find its 100 th term.
Question # 33
Find the sum of the squares of first 25 natural numbers.
Question # 34
If the H.M. and A.M. between two numbers are 4 and 9 / 2 , respectively, find the numbers.
Question # 35
A 1 , A 2 , A 3 , A 4 ,
. , A n are said to be n arithmetic means between a and b if a , A 1 , A 2 , A 3 , A 4 ,
. , A n , b is a/an:
Question # 36
Express the recurring decimal as a fraction.
Question # 37
G > A > _ _ _ , then ( G > 0 ).
Question # 38
Find four geometric means between 4096 and 972.
Question # 39
Here is a number pattern. Find the missing number: 11 , 17 , 23 , x , 35 , 41.
Question # 40
Find four arithmetic means between 8 and − 7.
Question # 41
What is the geometric mean of 4 , 8.3 , 9 and 17?
Question # 42
Find the nth term of the geometric sequence:
Question # 43
Find the sum of the infinite geometric series:
Question # 44
Describe the sequence using the words convergent, divergent and periodic as appropriate.
Question # 45
A clock strikes once when its hour hand as at one, twice when it is at two and so on. How many times does the clock strike in twelve hours?
Question # 46
1.363636 … is approximately equal to _____.
Question # 47
The sum of n A.M.s between a and b is equal to _____.
Question # 48
Insert four harmonic means between 7 / 3 and 7 / 11.
Question # 49
Find the geometric mean of 5 , 20 , 40 , 80.
Question # 50
The sum of 7 A.M.s between 2 and 14 is equal to _____.
Question # 51
A marathon race was completed by 5 participants in the times given. What is the mean race time for this marathon? 2.7 hours, 8.3 hours, 3.5 hours, 5.1 hours, 4.9 hours.
Question # 52
1 , 1 / 2 , 1 / 3 , 1 / 4 , 1 / 5 … is an example of converging sequence.
Question # 53
The enrolment of a famous school doubled after eight years from 1970 to 1994 . If the enrolment was 6000 in 1994 , what was its enrolment in 1970 ?
Question # 54
Convert the recurring decimal to a mixed number. Give your answer in its simplest form.
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354
Math MCQ Test by Topics
- +6.1 Introduction
- +6.2 Types of sequences
- +6.1 Exercise
- +6.3 Arithmetic Progression (A.P)
- +6.2 Exercise
- +6.4 Arithmetic Mean (A.M)
- +6.4.1 n Arithmetic Means Between two given numbers
- +6.3 Exercise
- +6.5 Series
- +6.5 Sum of first n terms of an arithmetic series
- +6.4 Exercise
- +6.6 Word Problems on A.p
- +6.5 Exercise
- +6.7 Geometric Progression (G.P)
- +6.6 Exercise
- +6.8 Geometric Means
- +6.8.1 n Geometric Means Between two given numbers
- +6.7 Exercise
- +6.9 Sum of n terms of a Geometric Series
- +6.10 The Infinite Geometric Series
- +6.8 Exercise
- +6.11 Word Problems on G.P
- +6.9 Exercise
- +6.12 Harmonic Progression (H.P)
- +6.12.1 Harmonic Mean
- +6.12.2 n Harmonic Means between two numbers
- +6.13 Relations between Arithmetic, Geometric and Harmonic Means
- +6.10 Exercise
- +6.14 Sigma Notation (or Summation Notation)
- +6.15 To Find the Formulae for the Sums
- +6.11 Exercise
Math
- Number Systems
- Sets, Functions and Groups
- Matrices and Determinanls
- Quadratic Equations
- Partial Fractions
- Sequences and Series
- Permutation, Combination and Probability
- Mathematical Inductions and Bionomial Theorem
- Fundamentals of Trigonometry
- Trigonometric Identities
- Trigonometric Functions and their Graphs
- Application of Trigonometry
- Inverse Trigonometric Functions
- Solution of Trignometric Equations
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